1. √(1-x dx X

Q: Consider the function below. x² - 6xy² + y³ = 5 (a) Differentiate with respect to x (y is a function…

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: Given :u=<6,-3,8>

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A: Please refer to the image below

Q: Find the time necessary for $1800 to double if it is invested at a rate of r = 8.5% compounded…

A:

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

A:

Q: If possible, find the number k so that f is continuous at every point. f(x) = 7. x≤9 X+ k, x>9 A. K=…

A:

Q: Evaluate fx ln(x² + 1)dx. (Hint: Use Integration by parts) · (x² + 1)ln (x² + 1) − ½ x² + C Option…

A:

Q: Find all points where the function is discontinuous. Ay G OA. x = 4 OB. x= -7, x=4, and x = 6 OC. x=…

A:

Q: W Let z = x₁ + iy₁ and w = x2 + iy2. Prove = e²-w ew

A: ex × ey  = ex+y  e-x = 1/ex

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then L-¹{F(s)G(s)} = f(t)g(t). O True O…

A:

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0…

A: L{f(t)}=∫0∞f(t)e-stdt using above formula L{f(t)}=∫01te-stdt+∫1∞(2-t)e-stdt ........(1)

Q: The percentage of employees who cease their employment during a year is referred to as employee…

A:

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: The Solution is given below

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: 40+ toz

A: Topic:- application of derivatives

Q: Let f(x) be defined as f(x) = e* sin(x). Find f'(1). (If necessary, round the answer to three…

A:

Q: 1. Determine the intersection points (in polar CO- ordinates) of 62 and 63.

A:

Q: 38. If the velocity of a particle is given by the equation v(t) = r²- 5t \mbox{and the…

A: Topic = Algebra

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 6. Find values for F(1) and F(9) 3+ 2 1…

A:

Q: 10. Find the critical points of the following function. Use the Second Derivative test to determine…

A:

Q: Q7. A liquid is swirling around in a cylindrical container of radius 3, so that its motion is…

A:

Q: Let f(x, y, z) = eª + zy² and let C be a straight line segment connecting the points (4,2,1) and…

A:

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

A:

Q: Integrate O O-√√25-x² + C O X 25 – x² 25 - x² + C 25 - x² 2 O √25x² 2 - + C + C dx.

A: Consider the integral  ∫x25-x2dx   Formula  ∫xndx =xn+1n+1+c

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A:

Q: Question Find the value(s) of k that makes the given function continuous. f(x) = { √ka (Use a comma…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8e4t - 4e-t, y(0) =…

A:

Q: An architect has designed two tunnels. Tunnel A is modeled by x² + y² + 30x + 56 = 0, and tunnel B…

A:

Q: Two cars are moving towards an intersection. One car is 160 meters north of the intersection and…

A:

Q: alyze the following equation and graph it. 36 9-8 sin r= ich of the following is the correct…

A:

Q: 2). Compute the general term an of the series with the given partial sum Sn. Sn = 2 − n + 2 2n, n ≥…

A:

Q: Consider a two variable function z = x³ + 2xy + y² + 4y. Z= Find partial derivatives zy, ży Find all…

A:

Q: 2 2 [²³x² x² dx. 0

A:

Q: Find, in its simplest form, the quadratic equation with the following pair of solutions: 3/5 ± 3i

A:

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0 ≤ 0 ≤ 2, and 0 ≤ y ≤ n.) (a) (0, 3,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: s. How fast (in knots) is the distance between the ships changing at 4 PM? (Note

A:

Q: An open box of maximum volume is to be made from a square piece of material, s = 24 centimeters on a…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Fill in the blank. (Enter your answer in terms of t.) r 1 (s-7)6)

A:

Q: Find the definite integral of S™/6- π/6 Option 1: Option 2: Option 3: Option 4: 2 - In3 2 + In3 - 3…

A:

Q: I Eliminate the parameter in the parametric equations x=6+ sint, y=3+2 sint, for Osts, and describe…

A:

Q: 100 t/min -6 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² +…

A:

Q: Find the absolute maxima and minima of f(x, y) on the given regions Of(x, y) = x² + y² on R = {(x,…

A: Answer: As per guidelines we can solve only 1 question at one time so post other question separately…

Q: How long will it take for the population to reach 65286528 fish, according to this model?

A:

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

A:

Q: 4. A series RLC circuit has a hypothetical current that is described by the expression, I(t) = 6e-t…

A:

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

A:

Q: Find the critical numbers for f(x) = 7x*eº. 0, e O 0. O alt Tla 20.-1 0,- .7

A:

Q: Fill in the blank. (Enter your answer in terms of t.) ਤੇ s 2 S | 14s + 53 -

A:

Q: 27. Given that - what is A. = < B. C. D. s[, ; equal to? n E.

A: